一个(3+1)维非线性方程的Bcklund变换和精确解

Bcklund Transformations and Exact Solutions of a (3+1)-Dimensional Nonlinear Equation

利用双Bell多项式方法构造了一个(3+1)维非线性方程的双线性形式,得到了该方程的双线性Bcklund变换和相应的Lax对.同时利用Riemann theta函数,获得了该方程的周期波解.

Binary Bell polynomials are applied to construct the bilinear forms for a（3＋1）- dimensional nonlinear equation.The authors obtain its Backlund transformations and corresponding Lax pair.In the meantime,the periodic wave solution to the nonlinear equation is constructed by using the bilinear equations and a proper Riemann theta function.